In a angle ABC,internal bisector of <B and <C meet at a point O. if AC>AB, then prove that OC>OB
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Answer:
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Step-by-step explanation:
Given: OB and OC bisect ∠B and ∠C respectively.
In △BOC,
∠BOC+∠OBC+∠OCB=180 (OB and OC bisect ∠B and ∠C respectively)
∠BOC+
2
1
∠B+
2
1
∠C=180
∠BOC=180−
2
1
(∠B+∠C)
∠BOC=180−
2
1
(180−∠A) (Angle sum property)
∠BOC=90+
2
1
∠A
Answered by
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Step-by-step explanation:
explanation throughly
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